In a clinical study of a test devised to detect colorectalcancer it was found that 13% of people without cancer received apositive result (false positive) and 8% of people with cancerreceived a negative result (false negative). According to theAmerican Cancer Society, the lifetime risk of developing colorectalcancer is about 1 in 22 (4:49%) for men and 1 in 24 (4:15%) forwomen. According to the World Bank the population of the U. S. is50:52% female. If we simplify the model assuming that there areonly two genders, male and female, (a) what is the probability thata person with undisclosed gender will develop colorectal cancer intheir lifetime? (b) what is the probability that a person withundisclosed gender has colorectal cancer, given that they took thetest twice and the results were positive the first time andnegative the second time?
